Banach space

Fixed point

Fixed-point theorem

Pure mathematics

Functional equation

Differential equation

Applied mathematics

Stability (learning theory)

Computer science

Mathematics

Fixed-point iteration

Mathematical analysis

Geometry

Point (geometry)

Machine learning

Journal of Fixed Point Theory and Applications

Using the fixed point method, we prove the Ulam stability of two general functional equations in several variables in 2-Banach spaces. As corollaries from our main results, some outcomes on the stability of a few known equations being special cases of the considered ones will be presented. In particular, we extend several recent results on the Ulam stability of functional equations in 2-Banach spaces.

Ulam stability of functional equations in 2-Banach spaces via the fixed point method